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dc.contributor.authorKuznik, K.
dc.contributor.authorPaszynski, M.
dc.contributor.authorCalo, Victor
dc.identifier.citationKuznik, K. and Paszynski, M. and Calo, V. 2013. Grammar based multi-frontal solver for isogeometric analysis in 1D, International Conference on Computational Science, ICCS 2013, pp. 589-613.

In this paper, we present a multi-frontal direct solver for one-dimensional iso-geometric finite element method. The solver implementation is based on the graph grammar (GG) model. The GG model allows us to express the entire solver algorithm, including generation of frontal matrices, merging, and eliminations as a set of basic undividable tasks called graph grammar productions. Having the solver algorithm expressed as GG productions, we can find the partial order of execution and create a dependency graph, allowing for scheduling of tasks into shared memory parallel machine. We focus on the implementation of the solver with NVIDIA CUDA on the graphic processing unit (GPU). The solver has been tested for linear, quadratic, cubic, and higher-order B-splines, resulting in logarithmic scalability.

dc.titleGrammar based multi-frontal solver for isogeometric analysis in 1D
dc.typeConference Paper
dcterms.source.titleComputer Science
dcterms.source.seriesComputer Science
dcterms.source.conferenceInternational Conference on Computational Science, ICCS 2013
curtin.departmentDepartment of Applied Geology
curtin.accessStatusOpen access via publisher

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